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Partial Derivatives & Differential Equations Help

  1. Jan 26, 2009 #1
    1. The problem statement, all variables and given/known data

    We have

    y' = y^(1/3)

    with initial condition y(0)=0

    It's stated that the partial derivative ∂f/∂y does not exist at y=0.

    Can anyone explain to me why this is?
    I don't understand how you can take the partial derivative if its not in the form f(x, y);
    there is no x.

    2. Relevant equations

    Solving for y we have

    y = ((2/3)[t+c])^(3/2)

    if c=o, the initial condition is satisfied

    3. The attempt at a solution

  2. jcsd
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